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Q.

Find the square root of 5929 by the prime factorisation method.

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a

57

b

67

c

77

d

87 

answer is C.

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Detailed Solution

Concept- The prime factorization method involves expressing numbers as a product of their prime factors. The prime factors that are identical are paired, and the product of one element from each pair yields the square root of the number.
We can express the given number as a product of prime numbers using the prime factorisation method.

7

5929

7

847

11

121

11

11

 

1

We have  Question ImageBy grouping, Question ImageNow, we can pick one number from each group. So, the square root of 5929 will be the product of 7 and 11.
Question ImageHence, the correct answer is 3) 77.
 
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